Base | Representation |
---|---|
bin | 100111011001110… |
… | …0001101011001000 |
3 | 10102010211011120020 |
4 | 1032303201223020 |
5 | 10201431130440 |
6 | 335105500440 |
7 | 44522630523 |
oct | 11663415310 |
9 | 3363734506 |
10 | 1322130120 |
11 | 619342a23 |
12 | 30a941720 |
13 | 180bb5b1c |
14 | c7841bba |
15 | 7b1123d0 |
hex | 4ece1ac8 |
1322130120 has 128 divisors (see below), whose sum is σ = 4210185600. Its totient is φ = 331001856.
The previous prime is 1322130101. The next prime is 1322130167. The reversal of 1322130120 is 210312231.
It is a super-3 number, since 3×13221301203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1322130120.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507122 + ... + 1507998.
It is an arithmetic number, because the mean of its divisors is an integer number (32892075).
Almost surely, 21322130120 is an apocalyptic number.
1322130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1322130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105092800).
1322130120 is an abundant number, since it is smaller than the sum of its proper divisors (2888055480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1322130120 is a wasteful number, since it uses less digits than its factorization.
1322130120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 1322130120 is about 36361.1072438670. The cubic root of 1322130120 is about 1097.5510588305.
Adding to 1322130120 its reverse (210312231), we get a palindrome (1532442351).
The spelling of 1322130120 in words is "one billion, three hundred twenty-two million, one hundred thirty thousand, one hundred twenty".
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